In a hypothesis test, when you reject the null hypothesis, it is the same as

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BlackTom AI · Accepted Answer

The question as provided asks: 'In a hypothesis test, when you reject the null hypothesis, it is the same as' and there are no answer options listed. This means we cannot map any specific choice to the standard interpretations of what a rejection of H0 conveys.

Nevertheless, here is the general reasoning about what rejecting H0 means in hypothesis testing: When you reject the null hypothesis, you are concluding that there is statistically significant evidence against H0 at the chosen significance level. This does not prove that the alternative hypothesis is true with certainty, nor does it imply that the effect size is practically important; it merely indicates that the observed data would be unlikely if H0 were true.

Common misunderstandings to avoid include: 
- Rejection is not the same as 'proving' the alternative hypothesis true beyond doubt. Statistical significance reflects probability under repeated sampling, not absolute truth in a single experiment. 
- Rejection of H0 is not equivalent to accepting H1 with certainty; there is still a possibility of error (Type I error) if H0 is actually true. 
- It is also not the same as 'failing to reject H0'—failing to reject does not confirm H0, it only indicates insufficient evidence against it.

If there were multiple answer choices, you would compare each one against these core ideas: does the statement imply certainty, does it imply the alternative is proven, or does it misrepresent the probabilistic nature of evidence in hypothesis testing? Without the listed options, this general framework helps you evaluate any potential statement about rejecting H0.

Given the provided (but empty) answer options, the analysis focuses on clarifying the correct conceptual interpretation of what rejection signifies, and on highlighting common pitfalls that multiple-choice options often include.

Dashboard Quiz on Experimental Design and Analysis

In a hypothesis test, when you reject the null hypothesis, it is the same as

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Dashboard Quiz on Experimental Design and Analysis

In a hypothesis test, when you reject the null hypothesis, it is the same as

View Explanation

Log in for full answers

Similar Questions

Which one is true?

For an upper-tail hypotheses about a population mean with σ known and α=5%, which one is the rejection region?

For a given sample, the P-value for upper tail test is x, and the P-value for two-tailed test is y, then

For a two-tailed hypothesis test with a test statistic value of z = 2.09, the p-value is _____.

For a sample size of 30, changing from using the t distribution to using the standard normal distribution in a hypothesis test _____.

Exhibit 9-5 n = 16 H0: μ ≥ 80 = 75.607 Ha: μ < 80 σ = 8.6 Assume the population is normally distributed. Refer to Exhibit 9-5. The p-value is equal to _____.

Exhibit 9-1 ​ ​ Refer to Exhibit 9-1. If the test is done at a .01 level of significance, the null hypothesis should _____.

What conclusion for a test would correctly detect a difference between the actual parameter and the hypothesized value for the parameter? c08.p089.q0008

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Making Your Study Simpler

Exhibit 9-1 Refer to Exhibit 9-1. If the test is done at a .01 level of significance, the null hypothesis should _____.